What is the first derivative of 36x^2 ?

The first derivative of 36x^2 is 72x

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derivative of 36x^2

\frac{d}{d x} (36 x^{2})

72 x

Solution steps

\frac{d}{d x} (36 x^{2})

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 36 \frac{d}{d x} (x^{2})

Apply the Power Rule:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= 36 \cdot 2 x^{2 - 1}

Simplify

= 72 x

5 y^{^{''}} + 60 y = 0

\int_{0}^{\frac{1}{2}} \frac{4}{1 + 4 t ^{2}} d t

ln (x^{2} - 8 x + 1)

\int_{0}^{1} \frac{x}{( x + 1 ) ^{2}} d x